The Vector $\overrightarrow{\mathbf{r}}$ Indicates the Instantaneous Displacement of a Projectile from the Origin

question 43

Multiple Choice

The vector $\overrightarrow{\mathbf{r}}$ indicates the instantaneous displacement of a projectile from the origin. At the instant when the projectile is at $\overrightarrow{\mathbf{r}}$ , its velocity and acceleration vectors are $\overrightarrow{\mathbf{v}}$ and $\overrightarrow{\mathbf{a}}$ . Which statement is correct?

• A) \(\overrightarrow{\mathbf{v}}\) is always perpendicular to \(\overrightarrow{\mathbf{r}}\) .
• B) \(\overrightarrow{\mathbf{a}}\) is always perpendicular to \(\overrightarrow{\mathbf{r}}\) .
• C) \(\overrightarrow{\mathbf{a}}\) is always perpendicular to \(\overrightarrow{\mathbf{v}}\) .
• D) \(\overrightarrow{\mathbf{a}}\) is always perpendicular to \(\overrightarrow{\mathbf{V}}_{x}\) .
• E) \(\overrightarrow{\mathbf{a}}\) is always perpendicular to \(\overrightarrow{\mathbf{v}}_{y}\) .

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Definitions:

Sale-leaseback

A transaction where an asset is sold and immediately leased back from the new owner, allowing the seller to continue using the asset while freeing up capital.

Depreciation Expense

The systematic allocation of the depreciable amount of an asset over its useful life, representing wear and tear or obsolescence.

Profit on Sale-Leaseback

This refers to the gain a company realizes when it sells an asset and immediately leases it back from the buyer, thus continuing to use the asset without owning it.